Family Unification with SO(10)

Understand

Unification based on the group SO(10)^3 \times S_3 is studied.

• Each family has its own SO(10) group, and the S_3 permutes the three families and SO(10) factors.
• This is the maximal local symmetry for the known fermions.
• Family unification is achieved in the sense that all known fermions are in a single irreducible multiplet of the symmetry.